101 P5.ST.JC.18121119
Level 2
The ratio of the number of blue stickers to red stickers is 5 : 2.
After Adam gives away 10 blue stickers and buys another 20 red stickers,
there is an equal number of blue stickers and red stickers.
How many stickers does Adam have now?
3 m
Ratio to units Equal stage after All change Units table Units equations
102 P5.ST.JC.18121120
Level 2
The number of red and blue stickers are equal.
If Adam gives away 40 red stickers and 10 blue stickers,
the ratio of red stickers to blue stickers becomes 2 : 5.
How many stickers are there at first?
3 m
Ratio to units Equal stage before All change Units table Units equations
103 P3.DE.JM.17102943
Level 2
Fifty twenty-cent coins have the same value as                  fifty-cent coins.
3 m
D Multiplication D Division Money Equal stage Proportional exchange
104 P6.AG.JC.17080452
Level 2
The average score received by Jan, Alicia, Sue and May in a recent Math test was 76 marks. Jan and Alicia both got 8z marks each while Sue got half of May's marks. How many marks did Sue score for the test? Express your answer in terms of z.
3 m
Algebra in 1 variable Algebra simplifying Average Equal stage Units method
105 P5.VO.JM.17083114
Level 2
The width and height of the cuboid are the same. Its length is twice of its width. Find the volume of the cuboid.
3 m
Volume of cuboid Square & square root Times as many Equal stage
106 P4.DE.PR.17100322
Level 2
Josephine completed 4 jumps in the standing broad jump during NAPFA test. The total distance covered in her jumps was 394.8 cm. The distances covered for her first and second jumps were 97.7 cm and 98.9 cm. The distances covered for her third and fourth jumps were the same. What was the distance covered for the fourth jump?
2 m
D 4 operations Length Intervals Equal stage
107 P2.DA.JM.17121910
Level 2
The graph shows the different CCAs a class of pupils participate in.
  1.           pupils join IT Club as a CCA.
  2. There is an equal number of pupils participating in                    and                   .
  3.           more pupils join IT Club than Scouts.
4 m
Picture graph W 4 operations Equal Stage Model Comparison
108 P6.FR.JC.22050805
Level 3 PSLE
Mr Wong used 38 of his money to buy 8 apples and 12 peaches. The cost of 4 apples was the same as that of 2 peaches. What was the most number of peaches that Mr Wong could buy with the money he had left?
2 m
F Multiplication Min-max Equal stage Units method Units & parts Substitution
109 P4.FR.JM.17101644
Level 2
Nathan has a total of 20 shirts. He has 8 red shirts and an equal number of yellow and green shirts. What fraction of his shirts are green?
3 m
Fraction of a set F Simplest form Equal stage
110 P6.RA.TL.16010180
Level 3
The amount of lemon syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup B contains 189 mℓ more water than Cup A. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
3 m
Ratio to units Volume More than or less than Equal stage Units table Units manipulation
111 P6.DA.JC.23030804
Level 2
The graph shows the temperature of water in a pot from 08 00 to 08 30.
  1. For how many minutes was the temperature of the water 50°C and below?
  2. During which two 5-minute intervals did the temperature of water decrease at the same rate?
  3. What was the change in temperature per minute from 08 25 to 08 30? Give your answer in °C per minute.
3 m
Line graph 24-h clock Rate 1 object Equal stage Units method
112 P5.DE.NK.22122006
Level 3
Mrs Lao bought 20 kg of rice at $1.80 per kg. If each kg of rice cost 30 cents less, how much more rice could she buy with the same amount of money?
3 m
D 4 operations Mass Money More than or less than Equal stage
113 P5.RD.JM.17083182
Level 3
Lennie gave 58 of his salary to his wife. He gave 15 of his salary to his four children and left the rest for himself. He had $420 left for himself. Given that his four children received the same amount each, how much did each of his four children receive?
4 m
F Addition & subtraction Fraction to units Money Equal stage after Remainder concept Units method
114 P6.RD.TL.16010181
Level 3
In a school, 0.8 of the girls and 0.3 of the boys take part in CCAs. There is an equal number of boys and girls who do not take part in CCAs. If 378 pupils do not take part in CCAs, how many more pupils take part in CCAs than those who do not take part in CCAs?
4 m
Decimal to units More than or less than Equal stage Combined repeated identity Remainder concept Units table Units manipulation
115 P6.RD.TL.16010171
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Fraction to units Finding ratio R Simplest form Percent to units Percent of different bases More than or less than Equal stage after Repeated identity Common numerator Units table
116 P4.AN.JM.17092807
Level 3
In the figure, BC is a straight line. ∠ADB = 90°, ∠EDF is equal to ∠FDC but 24° more than ∠ADE.
  1. What line is perpendicular to BC?
  2. Find ∠EDF.
3 m
Right angle Equal stage Model Comparison Units method
117 P4.AP.JC.18012093
Level 3
The figure is made up of a rectangle and a square of side 7 cm. Find the area of the shaded part.
3 m
Square Rectangle Equal stage
118 P4.AP.JM.17100170
Level 3
A square has the same perimeter as the rectangle shown. Find the area of the square.
3 m
Square Rectangle Equal stage
119 P6.RD.TL.16010198
Level 3
Two hours ago, a stallholder started his day with some durians and apples in the ratio of 5 : 2. There were 100 apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became 35 of the apples.
  1. How many durians did the stallholder have left?
  2. How many durians must the stallholder buy in order to have an equal number of durians and apples?
4 m
Fraction to units Ratio to units Equal stage after Unchanged quantity Units table
120 P1.PA.JC.18102432
Level 3
Find the missing numbers.
The numbers in each row and column must add up to the same answer.
  1. A
  2. B
4 m
W Addition & subtraction Repeated patterns Equal stage

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